GCF of 7099/965, 4216/2211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7099/965, 4216/2211 i.e 31/2133615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7099/965, 4216/2211.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7099/965,4216/2211?
Given fractions are 7099/965,4216/2211
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7099/965,4216/2211, numerators are 7099,4216
Denominators are 965,2211
The GCF of 7099,4216 is 31 .
LCM of 965,2211 is 2133615.
The greatest common factor of 7099/965,4216/2211 = [GCF of 7099,4216]/[LCM of 965,2211]= 31/2133615
Therefore, the GCF of 7099/965,4216/2211 is 31/2133615.
To find the highest common factor of 7099,4216, we have to find the factors of both numbers and list the highest common factor.
The factors of 7099 are 1, 31, 229, 7099
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The HCF of 7099,4216 is 31.
Lets's calculate GCF of 7099,4216
| 31 | 7099, 4216 |
| 229, 136 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 7099,4216 By Matching Biggest Common Factor Method
Now, list down the factors of 7099
:1,31,229,7099
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Greatest Common Factor
We found the factors 7099,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 7099,4216 is 31.
Lets's calculate LCM of 965,2211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2133615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2133615
Therefore, the GCF of Fractions 7099/965,4216/2211 is 31/2133615
Least Common Multiple of 965,2211 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 965,2211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,2211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,2211) x common factors =1 x 1 = 1
LCM(965,2211) = ( 965 × 2211 ) / 1
LCM(965,2211) = 2133615 / 1
LCM(965,2211) = 2133615
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7099/965, 4216/2211
1. What is the HCF of 7099,4216?
The HCF of 7099,4216 is 31
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7099/965, 4216/2211?
Answer: GCF of Numerators as per given numbers 7099/965, 4216/2211 is
GCF of Numerators i.e. for 7099,4216 is 31
LCM of denominators i.e. for 965,2211 is 2133615.
Thus, GCF of Fractions is 31/2133615.Finally, GCF of Fractions for 7099/965, 4216/2211 is 31/2133615.